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72224036872 = 23131433484621
BaseRepresentation
bin100001101000011100…
…0110101100000001000
320220102102021012220121
41003100320311200020
52140403323134442
653102415433024
75134531120111
oct1032070654010
9226372235817
1072224036872
11286a2649979
1211bb7825774
136a701439c0
1436d214d208
151d2a9c9967
hex10d0e35808

72224036872 has 32 divisors (see below), whose sum is σ = 145939069080. Its totient is φ = 33310840320.

The previous prime is 72224036851. The next prime is 72224036879. The reversal of 72224036872 is 27863042227.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66299040196 + 5924996676 = 257486^2 + 76974^2 .

It is not an unprimeable number, because it can be changed into a prime (72224036879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93279 + ... + 391342.

Almost surely, 272224036872 is an apocalyptic number.

It is an amenable number.

72224036872 is an abundant number, since it is smaller than the sum of its proper divisors (73715032208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72224036872 is a wasteful number, since it uses less digits than its factorization.

72224036872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486073 (or 486069 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 72224036872 in words is "seventy-two billion, two hundred twenty-four million, thirty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 1433 2866 5732 11464 18629 37258 74516 149032 484621 969242 1938484 3876968 6300073 12600146 25200292 50400584 694461893 1388923786 2777847572 5555695144 9028004609 18056009218 36112018436 72224036872